Single-logarithmic stability for the Calder\'on problem with local data
Analysis of PDEs
2014-04-16 v1
Abstract
We prove an optimal stability estimate for Electrical Impedance Tomography with local data, in the case when the conductivity is precisely known on a neighborhood of the boundary. The main novelty here is that we provide a rather general method which enables to obtain the H\"older dependence of a global Dirichlet to Neumann map from a local one on a larger domain when, in the layer between the two boundaries, the coefficient is known.
Cite
@article{arxiv.1202.5485,
title = {Single-logarithmic stability for the Calder\'on problem with local data},
author = {Giovanni Alessandrini and Kyoungsun Kim},
journal= {arXiv preprint arXiv:1202.5485},
year = {2014}
}
Comments
12 pages